In as in Example 5 to find a solution of the

Chapter 4, Problem 27E

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QUESTION:

In Problems 19–30 proceed as in Example 5 to find a solution of the given initial-value problem.

\(x^{2} y^{\prime \prime}-2 x y^{\prime}+2 y=x, y(1)=2, y^{\prime}(1)=-1\)

Text Transcription:

x^2 y^prime prime-2 x y^prime+2 y=x, y 1=2, y^prime 1=-1

Questions & Answers

QUESTION:

In Problems 19–30 proceed as in Example 5 to find a solution of the given initial-value problem.

\(x^{2} y^{\prime \prime}-2 x y^{\prime}+2 y=x, y(1)=2, y^{\prime}(1)=-1\)

Text Transcription:

x^2 y^prime prime-2 x y^prime+2 y=x, y 1=2, y^prime 1=-1

ANSWER:

Step 1 of 6  

In this problem, we need to  find the solution of the given initial-value problem

x² y” - 2x y’ + 2 y = x

Initial conditions are y(0) = 2  and   y’(0) = -1

 

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